Solve linear equations with variables on both sides
Flashcard
•
Mathematics
•
8th - 10th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
2.
FLASHCARD QUESTION
Front
What does it mean to solve an equation with variables on both sides?
Back
It means to isolate the variable by performing operations to both sides of the equation until the variable is alone on one side.
3.
FLASHCARD QUESTION
Front
What is the first step in solving the equation 4(3r + 4) = −8(2r + 5)?
Back
Distribute the numbers outside the parentheses: 12r + 16 = -16r - 40.
4.
FLASHCARD QUESTION
Front
What does 'no solution' mean in the context of linear equations?
Back
'No solution' means that there is no value for the variable that satisfies the equation, often resulting in a contradiction.
5.
FLASHCARD QUESTION
Front
What does 'all real numbers' mean as a solution?
Back
'All real numbers' means that any value for the variable will satisfy the equation, indicating that the equation is true for every real number.
6.
FLASHCARD QUESTION
Front
How do you check if your solution to a linear equation is correct?
Back
Substitute the solution back into the original equation to see if both sides are equal.
7.
FLASHCARD QUESTION
Front
What is the solution to the equation 6(y - 2) = 6 + 9(y - 2)?
Back
The solution is 0, indicating that the equation is true for all values of y.
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